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Finding the Fourth Proportional to 431,530.55, 647,294.91 and 115,987.47

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Solution

The fourth proportional to 431,530.55, 647,294.91 and 115,987.47 is: 173,980.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,530.55 : 647,294.91 = 115,987.47 : x
  2. Step 2: Convert to fraction form
    431,530.55/647,294.91 = 115,987.47/x
  3. Step 3: Cross multiply
    431,530.55x = 647,294.91 × 115,987.47
  4. Step 4: Simplify right side
    431,530.55x = 75,078,098,954.78
  5. Step 5: Solve for x
    x = 75,078,098,954.78/431,530.55
  6. Step 6: Final answer
    x = 173,980.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.